Common upper frequent hypercyclicity
作者: Monia Mestiri
作者单位: 1Département de Mathématique Institut Complexys Université de Mons 20 Place du Parc 7000 Mons, Belgium
刊名: Studia Mathematica, 2020, Vol.250 , pp.1-18
来源数据库: Institute of Mathematics Polish Academy of Sciences
DOI: 10.4064/sm180410-10-9
原始语种摘要: Considering a family of upper frequently hypercyclic operators we study the existence of vectors which are upper frequently hypercyclic for any operator of this family. We establish sufficient conditions for an uncountable family of operators to admit such vectors called common upper frequently hypercyclic vectors. Using this result, we then give a construction of such vectors. Finally, we derive some applications to families of weighted shifts.
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关键词翻译
关键词翻译
  • frequently 经常
  • upper 上面的
  • operators 操作符
  • uncountable 不可数的
  • construction 构造
  • family 
  • establish 建立
  • admit 容许
  • common 普通
  • called 被呼叫的